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Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection–diffusion equation in 1D
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-07-09 , DOI: 10.1016/j.aml.2020.106624 Jin Zhang , Xiaowei Liu
中文翻译:
一维奇摄动对流扩散方程在Bakhvalov型网格上的线性有限元方法的超闭合性
更新日期:2020-07-09
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-07-09 , DOI: 10.1016/j.aml.2020.106624 Jin Zhang , Xiaowei Liu
In this article, a singularly perturbed convection–diffusion equation is solved by a linear finite element method on Bakhvalov-type meshes. By means of a novel interpolation to the solution, a supercloseness result is obtained on Bakhvalov-type meshes for the first time.
中文翻译:
一维奇摄动对流扩散方程在Bakhvalov型网格上的线性有限元方法的超闭合性
在本文中,通过线性有限元方法在Bakhvalov型网格上求解奇摄动对流扩散方程。通过对该解进行新颖的插值,第一次在Bakhvalov型网格上获得了超闭合性结果。